André O. Gomes

collaborators

2 papers

math.DG2017

Poincaré index and the volume functional of unit vector fields on punctured spheres

Fabiano G. B. Brito, André O. Gomes, Icaro Gonçalves

For $n \geq 1$ , we exhibit a lower bound for the volume of a unit vector field on $S^{2 n + 1} \ {\pm p}$ depending on the absolute values of its Poincaré indices aro…

math.DG2011

Energy and volume of vector fields on spherical domains

Fabiano G. B. Brito, André Gomes, Giovanni S. Nunes

We present in this paper a \boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of threedimensional Euclidean sphere.